Uniformly accelerating observer in κ-deformed space-time

this paper, we study the effect of kappa deformation of the space-time on the response function of a uniformly accelerating detector coupled to a scalar field. Starting with kappa-deformed Klein-Gordon theory, which is invariant under a kappa-Poincare algebra and written in commutative space-time, we derive kappa-deformed Wightman functions, valid up to second order in the deformation parameter a. Using this, we show that the first nonvanishing correction to the Unruh thermal distribution is only in the second order in a. We also discuss various other possible sources of a-dependent corrections to this thermal distribution.